103553120400 has 60 divisors (see below), whose sum is σ = 331715166192. Its totient is φ = 27614165120.

The previous prime is 103553120311. The next prime is 103553120401. The reversal of 103553120400 is 4021355301.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×103553120400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103553120401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43145934 + ... + 43148333.

Almost surely, 2^103553120400 is an apocalyptic number.

103553120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103553120400 is an abundant number, since it is smaller than the sum of its proper divisors (228162045792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103553120400 is a wasteful number, since it uses less digits than its factorization.

103553120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86294288 (or 86294277 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 103553120400 its reverse (4021355301), we get a palindrome (107574475701).

The spelling of 103553120400 in words is "one hundred three billion, five hundred fifty-three million, one hundred twenty thousand, four hundred".